1414047888 has 320 divisors, whose sum is σ = 4742553600. Its totient is φ = 399168000.

The previous prime is 1414047883. The next prime is 1414047941. The reversal of 1414047888 is 8887404141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1414047881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4271883 + ... + 4272213.

It is an arithmetic number, because the mean of its divisors is an integer number (14820480).

Almost surely, 2^1414047888 is an apocalyptic number.

1414047888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414047888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371276800).

1414047888 is an abundant number, since it is smaller than the sum of its proper divisors (3328505712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414047888 is a wasteful number, since it uses less digits than its factorization.

1414047888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 1414047888 is about 37603.8281030004. The cubic root of 1414047888 is about 1122.4182146519.

The spelling of 1414047888 in words is "one billion, four hundred fourteen million, forty-seven thousand, eight hundred eighty-eight".